Examples for secondary school students - page 2 of 222
Number of problems found: 4435
- Triple the sum
At what rate a sum triples in 5 years at simple interest?
- Triangle 90
Triangle made by 6 cm 4.5 cm and 7.5 cm. what angles does it make?
- The sum 51
The sum of two numbers is 100 and difference is 37 . Find the difference between their squares.
- Percents and ratio
When 20% of a number is added to another number, the number increases by 50%. What is the ratio of the two numbers?
- Reciprocal in equation
A positive number, when increased by 10 equals 200 times its reciprocal. What is the number?
- The boat
A boatman goes 2 km against the stream in 40 minutes and returns to the same spot in 30 minutes. What is his rate of rowing in still water?
- A plane 3
A plane left 30 minutes later than the scheduled time and in order to reach the destination 1500 km away in time, it has to increase the speed by 250 km/hr from the usual speed. Find its usual speed.
- Dual profit
A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest 18%. He gains 14% on the whole. Find the quantity of 8% profit.
- Dilution
How many liters of water will have to be added to 1125 liters of the 45% solution of acid so that the resulting mixture will contain more than 25% but less than 30% acid content?
- Three inscribed objects
A circle is inscribed in a square. An equilateral triangle of side 4√3 is inscribed in that circle. Find the length of the diagonal of the square.
- Lightbulbs
The physical plant at the main campus of a large state university recieves daily requests to replace fluorescent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 48 and a standard deviation of 10. Using the emp
- Two trains 16
Two trains cross each other in 14 seconds when they are moving in opposite direction and when they are moving in the same direction they cross each other in 3 minutes 2 seconds . The speed of the faster train is by what percent more than the slower train?
- Failed in examination
In an examination, 20% of total students failed in history,15% failed in English and 5% of total number of students failed in both subjects. Find the percentage of total number of students who passed in both the subjects.
- Usual speed 2
A passenger train takes 1 h less for a journey of 120 km.If its speed increased by 10 k/h from its usual speed. What is its usual speed?
- Angle of elevation
From a point A on the ground, the angle of elevation of the top of a 20 m tall of a building is 45°. A flag is hoisted at the top of the building and the angle of elevation of the top of the flagstaff from A is 60°. Find the length of the flagstaff and th
- A furniture
A furniture dealer bought a dining set at 12000 USD. At what price would the dealer sell this set by offering a discount of 5% and still make a profit of 10%?
- A variable
A variable rectangle has a constant area of 35 cm². Find the lengths of the sides when the perimeter is minimum.
- By selling
By selling an article for $ 21, a trader loses as much percent as the cost price of the article. Find the cost price.
- Scholarship 3
The ratio of number of boys to that of the girls in a school is 3:2. If 20% of boys and 25% of the girls are scholarship holders, find the percentage of those who are not scholarship holders?
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